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Finding the Fourth Proportional to 13,609.10, 18,782.61 and 8,306.99

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Solution

The fourth proportional to 13,609.10, 18,782.61 and 8,306.99 is: 11,464.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,609.10 : 18,782.61 = 8,306.99 : x
  2. Step 2: Convert to fraction form
    13,609.10/18,782.61 = 8,306.99/x
  3. Step 3: Cross multiply
    13,609.10x = 18,782.61 × 8,306.99
  4. Step 4: Simplify right side
    13,609.10x = 156,026,953.44
  5. Step 5: Solve for x
    x = 156,026,953.44/13,609.10
  6. Step 6: Final answer
    x = 11,464.90

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.